12968600 has 48 divisors (see below), whose sum is σ = 30675120. Its totient is φ = 5097600.

The previous prime is 12968581. The next prime is 12968617. The reversal of 12968600 is 686921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11669 + ... + 12731.

It is an arithmetic number, because the mean of its divisors is an integer number (639065).

Almost surely, 2^12968600 is an apocalyptic number.

12968600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12968600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337560).

12968600 is an abundant number, since it is smaller than the sum of its proper divisors (17706520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12968600 is a wasteful number, since it uses less digits than its factorization.

12968600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 12968600 is about 3601.1942463577. The cubic root of 12968600 is about 234.9440035586.

The spelling of 12968600 in words is "twelve million, nine hundred sixty-eight thousand, six hundred".